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Finding the Fourth Proportional to 13,744.47, 18,963.02 and 8,077.40

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Solution

The fourth proportional to 13,744.47, 18,963.02 and 8,077.40 is: 11,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.47 : 18,963.02 = 8,077.40 : x
  2. Step 2: Convert to fraction form
    13,744.47/18,963.02 = 8,077.40/x
  3. Step 3: Cross multiply
    13,744.47x = 18,963.02 × 8,077.40
  4. Step 4: Simplify right side
    13,744.47x = 153,171,955.47
  5. Step 5: Solve for x
    x = 153,171,955.47/13,744.47
  6. Step 6: Final answer
    x = 11,144.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.